Abstract
We prove a result on the existence and uniqueness of a local solution to a generalized Boussinesq equation for initial data of low regularity. We also discuss the existence of global solutions and the occurrence of blow-up phenomena. Our results are applicable to several physically relevant equations that are obtained as special cases of our model equation.
Citation
Adrian Constantin. Luc Molinet. "The initial value problem for a generalized Boussinesq equation." Differential Integral Equations 15 (9) 1061 - 1072, 2002. https://doi.org/10.57262/die/1356060763
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